time-to-botec/squiggle/node_modules/@stdlib/math/base/special/beta

beta

Beta function.

The beta function, also called the Euler integral, is defined as

The beta function is related to the Gamma function via the following equation

Usage

var beta = require( '@stdlib/math/base/special/beta' );

beta( x, y )

Evaluates the beta function.

var val = beta( 0.0, 0.5 );
// returns Infinity

val = beta( 1.0, 1.0 );
// returns 1.0

val = beta( -1.0, 2.0 );
// returns NaN

val = beta( 5.0, 0.2 );
// returns ~3.382

val = beta( 4.0, 1.0 );
// returns 0.25

Examples

var beta = require( '@stdlib/math/base/special/beta' );
var x;
var y;

for ( x = 0; x < 10; x++ ) {
    for ( y = 10; y > 0; y-- ) {
        console.log( 'x: %d, \t y: %d, \t f(x,y): %d', x, y, beta( x, y ) );
    }
}